ICIAM 2011 Mini-Symposium — MS13

Applications of Numerical Geometric Methods in Dynamics and Control
Monday July 18, 2011, 10:00-12:00
Room: 207

The mini-symposium is concerned with the dynamics and control of mechanical systems. The goal is to study methods that account for the mechanical state space structure to obtain more efficient control algorithms. Such structure includes the symplectic structure of phase space, kinematic and nonholonomic constraints, symmetries due to motion invariants, or stable or unstable invariant manifolds. The link between the preservation of such structure and the associated control algorithms is explored. The underlying analytical methods are based on discrete mechanics, invariant manifolds, model predictive control, and nonlinear optimization. A number of examples illustrate the general theory and the developed algorithms.